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Finding the Fourth Proportional to 37,486.94, 56,230.44 and 9,784.94

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Solution

The fourth proportional to 37,486.94, 56,230.44 and 9,784.94 is: 14,677.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,486.94 : 56,230.44 = 9,784.94 : x
  2. Step 2: Convert to fraction form
    37,486.94/56,230.44 = 9,784.94/x
  3. Step 3: Cross multiply
    37,486.94x = 56,230.44 × 9,784.94
  4. Step 4: Simplify right side
    37,486.94x = 550,211,481.57
  5. Step 5: Solve for x
    x = 550,211,481.57/37,486.94
  6. Step 6: Final answer
    x = 14,677.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.